Regular Elements and Right Units of Semigroup Bx(D) Defined Semilattice D for Which V(D,а)=Q ∈ ∑3(X,8)
Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=53904#.VNsFUyzQrzE Author(s) Giuli Tavdgiridze , Yasha Diasamidze Affiliation(s) Department of Mathematics, Faculty of Physics, Mathematics and Computer Sciences, Shota Rustaveli Batumi State University, Batumi, Georgia . ABSTRACT In this paper we take subsemilattice of X -semilattice of unions D which satisfies the following conditions: We will investigate the properties of regular elements of the complete semigroup of binary relations B x ( D ) satisfying V ( D ,а)= Q . For the case where X is a finite set we derive formulas by means of which we can calculate the numbers of regular elements and right units of the respective semigroup. KEYWORDS Semilattice , Semigroup , Regular Element , Right Unit , Binary Relation Cite this paper Tavdgiridze, G. and Diasami...